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Finding the Fourth Proportional to 4,954.82, 6,837.64 and 2,965.66

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Solution

The fourth proportional to 4,954.82, 6,837.64 and 2,965.66 is: 4,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.82 : 6,837.64 = 2,965.66 : x
  2. Step 2: Convert to fraction form
    4,954.82/6,837.64 = 2,965.66/x
  3. Step 3: Cross multiply
    4,954.82x = 6,837.64 × 2,965.66
  4. Step 4: Simplify right side
    4,954.82x = 20,278,081.25
  5. Step 5: Solve for x
    x = 20,278,081.25/4,954.82
  6. Step 6: Final answer
    x = 4,092.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.